I can't speak to Christopher Tolkien's musical tastes, but while he might permit such adaptations to be made, is it not exceedingly unlikely that he would himself write them? So far as is known, his only attempt at writing in his father's style (beyond a few short connecting phrases in The Children of Húrin) are some passages in The Silmarillion, preeminently a large part of the story of Doriath's fall. However, that work was a collaboration with Guy Kay who, unlike Christopher, has proven to have a great interest himself in writing fiction. And Christopher has expressed some regrets about exceeding his editorial capacity in creating those passages.

(For reference, particularly for those less familiar with the subject, here I meant to link to Voronwë's helpful recent essay summarizing Christopher Tolkien's work editing his father's texts, but I can't get the Hall of Fire to load, as has happened several times over the past few days. Perhaps Voronwë can supply a link.) <><><><><><><><><><><><><><><><><><><><> Discuss Tolkien’s life and works in the Reading Room! +=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+= How to find old Reading Room discussions.